Reed Richards says that Superman is perhaps the most powerful hero on both earths and Thor is explicitly name dropped by Franklin Richards as well.

There are other indirect comparisons as well but I think that puts Superman ahead of Thor in their encounters by quite a bit.

Thoughts?

One issue even featured electric Superman. How does that factor in comparing Thor and Superman? Ok, story-wise, let's assume Access got regular Superman, does he have electric powers to snap out the heroes from both universes out of their funk? No. The electric shock did not even KO any of the weaker heroes, so I doubt if it could have KOed Thor. So, Access bringing someone who can put a stop to it does not mean he is the most powerful, but he has the powers to accomplish the task (jolting the heroes just enough to snap out of their mental incapacity at the time...which regular Superman cannot do).

The second issue you cited, Thow wasn't even there, except in action figure form. So Reed Richards said that Superman is PERHAPS the most powerful hero in both worlds, so what? Franklin Richards said "I bet Superman is bigger than Thor", which is of course not true (Superman is 6'3, Thor is 6'6). When John Byrne wrote Reed saying "superman is perhaps the most powerful hero in both worlds and now he is under the thrall of Galactus"....or something to that effect....storywise it made sense...because by then it made the "Herald of Galactus Superman" that much more of a threat. Hiw stupid would it have sounded if John Byrne wrote Reed saying something like..."Superman, the most powerful hero in both our worlds next to Thor, Hulk, Martian Manhunter, etc." Silly, right? Of course.